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I'm very concerned about losing all of that insight, not only for reporting but for making decisions based on the traffic were getting from which keywords. Does anyone have any alternatives or suggestions?

Here's a good article going over the change - http://searchengineland.com/post-prism-google-secure-searches-172487

Yes I would say they're referring to (not provided) which is currently SKYROCKETING at unprecedented levels. I would wonder why they are asking this question and what exactly they are expecting you to do with GA keyword entry data. I would personally try to get to the root of this question.

They may just be testing your knowledge of SEO or they may be wondering how you are going to research keywords and prove that your targeted phrases are gaining visitors. This should be something you can address if so.

I am not sure your client fully understands what is meant by this, and indeed I am not sure I fully understand. However, as I see it, there is an increasing trend for your Google Analytics to report no information when it reports to you, making it harder to get decent view of where your traffic is coming from.

To quote an article: http://searchenginewatch.com/article/2290098/3-Ways-Ecommerce-Websites-Can-Grow-or-Maintain-Organic-Search-Traffic

"Those with their sleeves pushed up working day-to-day on SEO know the reasons why this is happening – searchers who are logged into Google accounts, Firefox users, and most mobile searchers pass "no query" when they click on organic-search links – causing analytics systems to report it without a query."

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